Question

Do the ratios 15 cm to 2 m and 10 sec to 3 minute form a proportion?

Answer 1

Step 1 : Finding the simplest form of both the ratios

Ratio of 15 cm to 2 m $=\frac{15cm}{2m}=\frac{15cm}{200cm}=\frac{15÷5}{200÷5}=\frac{3}{40}=\mathbf{3}\mathbf{}\mathbf{:}\mathbf{}\mathbf{40}$

Ratio of 10 sec to 3 minute $=\frac{10sec}{3min}=\frac{10sec}{3\times 60sec}=\frac{10÷10}{180÷10}=\frac{1}{18}=\mathbf{1}\mathbf{}\mathbf{:}\mathbf{}\mathbf{18}$

Step 2 : Comparing both the ratios

Since, 3 : 40 $\ne$ 1 : 18

Hence, 15 cm to 2 m and 10 sec to 3 minute are not in proportion.